A year later, the building became temporary home to the Pedagogical Seminary, whose purpose was to provide guidance and later supervision for all teachers and schools in the city.

The seminars given at the school became enormously popular between the two World Wars; Zsigmond Móricz often praised them in Nyugat.

The high school moved to the present building and the full, official name became Fazekas Mihály Fővárosi Gyakorló Általános Iskola és Gimnázium.

Fazekas's prestigious reputation is linked to special mathematics classes which were started in 1962, when Imre Rábai gathered some promising talent who went on to achieve world fame for the school in the subject.

The eight-strong Hungarian team participating in the 1966 International Mathematical Olympiad consisted solely of Fazekas students and three of them (László Lovász, József Pelikán [hu] and Lajos Pósa) returned with gold medals.